Dynamical behaviors, circuit design, and synchronization of a novel symmetric chaotic system with coexisting attractors

Qiu, Haitao; Xu, Xuemei; Jiang, Zhaohui; Sun, Kehui; Cao, Chao

doi:10.1038/s41598-023-28509-z

Cited by 22 publications

(11 citation statements)

References 46 publications

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“…Furthermore, symmetry and conditional symmetry can be seen in nonlinear circuits [90][91][92][93], and in this case, coexisting attractors indicate multiple signal outputting. As we know, the restriction of voltage and current in a circuit is under the rule governed by the structure of circuit topology and the individual characteristic of a circuit component.…”

Section: Symmetry and Elegance In Simple Chaotic Circuitsmentioning

confidence: 99%

Symmetric Strange Attractors: A Review of Symmetry and Conditional Symmetry

Jiang

et al. 2023

Symmetry

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A comprehensive review of symmetry and conditional symmetry is made from the core conception of symmetry and conditional symmetry. For a dynamical system, the structure of symmetry means its robustness against the polarity change of some of the system variables. Symmetric systems typically show symmetrical dynamics, and even when the symmetry is broken, symmetric pairs of coexisting attractors are born, annotating the symmetry in another way. The polarity balance can be recovered through combinations of the polarity reversal of system variables, and furthermore, it can also be restored by the offset boosting of some of the system variables if the variables lead to the polarity reversal of their functions. In this case, conditional symmetry is constructed, giving a chance for a dynamical system outputting coexisting attractors. Symmetric strange attractors typically represent the flexible polarity reversal of some of the system variables, which brings more alternatives of chaotic signals and more convenience for chaos application. Symmetric and conditionally symmetric coexisting attractors can also be found in memristive systems and circuits. Therefore, symmetric chaotic systems and systems with conditional symmetry provide sufficient system options for chaos-based applications.

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Section: Symmetry and Elegance In Simple Chaotic Circuitsmentioning

confidence: 99%

Symmetric Strange Attractors: A Review of Symmetry and Conditional Symmetry

Jiang

et al. 2023

Symmetry

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“…Lyapunov exponents are an important criterion in the analysis of the behavior of a dynamic system because they provide characteristic information about the system and serve as a measure of chaotic behavior (Abarbanel et al 1991;Kinsner 2006;Aziz et al 2021;Qiu et al 2023). If the behavior of a dynamic system is sensitive to initial conditions, then as time progresses, orbits close to each other in the phase space will rapidly diverge.…”

Section: Lyapunov Exponents Analysis Of Chaotic Systemmentioning

confidence: 99%

Respiratory Diseases Prediction from a Novel Chaotic System

Mansour

DONMEZ²,

Kutlu³

et al. 2023

Chaos Theory and Applications

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Pandemia severely affects international health systems. Researchers found out that there is a correlation between weather conditions and respiratory diseases. This paper focuses on the nonlinear analysis of respiratory diseases, and their relation to weather conditions. Chaos events that totally random but may actually have underlying patterns. For weather conditions, Edward Lorenz defined this phenomenon as the butterfly effect. This inspired us to define a chaotic system which could capture properties of respiratory diseases. The chaotic analysis was performed and was related to the difference in the daily number of cases received from real data. The correlation between patient predicted number and the new chaotic equation solution was 90,16. In the future, this equation will be implemented in a real-time warning system for use by national health services.

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“…Furthermore, certain encryption algorithms employ simple heteroskedastic operations to encrypt plaintexts, which are ulnerable to selective attacks. To enhance security, more complex encryption algorithms, such as permutation-and diffusion-based structures should be employed to strengthen their resistance [14]. Finally, the inefficiency of certain encryption algorithms potentially impedes their practical applications [15].…”

Section: Introductionmentioning

confidence: 99%

Image Encryption Algorithm Combining Chaotic Image Encryption and Convolutional Neural Network

Feng

et al. 2023

Electronics

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With the rapid development of information technology, the security of images has emerged as a significant area of research. This study presents an algorithm that integrates chaotic image encryption and a convolutional neural network (CNN) to enhance security and efficiency. The algorithm applies the properties of randomness and nonlinear mapping of chaotic sequences with the advanced feature extraction capabilities of a CNN model to achieve robust image encryption. First, we outline the fundamentals of chaotic image encryption and CNN. Chaotic image encryption employs chaotic sequence generation and nonlinear mapping to scramble pixel values for encryption purposes, while a CNN, as a deep-learning model with a local perceptual field and weight sharing, effectively extracts high-level image features. Subsequently, we provide a detailed description of the specific steps involved in combining chaotic image encryption and the CNN. These steps include chaotic sequence generation, pixel value mapping, feature extraction, and key management. The algorithm achieves high-strength encryption by performing dissimilarity operations between the chaotic sequence and image pixel values, as well as extracting high-level image features using the CNN. Finally, we conduct experimental evaluations of the algorithm and compare it with traditional chaotic image encryption methods. The experimental results demonstrate that the image encryption algorithm exhibits significant improvements in encryption quality and security while offering advantages in computational performance and encryption/decryption speed.

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Dynamical behaviors, circuit design, and synchronization of a novel symmetric chaotic system with coexisting attractors

Cited by 22 publications

References 46 publications

Symmetric Strange Attractors: A Review of Symmetry and Conditional Symmetry

Symmetric Strange Attractors: A Review of Symmetry and Conditional Symmetry

Respiratory Diseases Prediction from a Novel Chaotic System

Image Encryption Algorithm Combining Chaotic Image Encryption and Convolutional Neural Network

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